(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ =
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
22 I think it’s probably wrong but I tried
Answer:
6 is a answer
Step-by-step explanation:
if it is x 3+3 is equal to 6
if it is 10+10 is equal to 20
Answer:
Number of cookies sold by the Yummy Company = 32.
Step-by-step explanation:
Let the number of cookies sold by the yummy company be x.
Then the number of pies sold by The Chipper Bakery is 3/4 x.
When they have 16, more we have:
Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)
So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)
= 7/4 x + 32 = 11/6 x + 16 + 80/6
7/4 x - 11/6x = 16 + 80/6 - 32
-1/12 x = -2 2/3
x = -8/3 * -12
x = 32.